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Finding the Third Proportional to 220,329 and 297,276.75

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Solution

The third proportional to 220,329 and 297,276.75 is: 401,097.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,329 : 297,276.75 = 297,276.75 : x
  2. Step 2: Convert to fraction form
    220,329/297,276.75 = 297,276.75/x
  3. Step 3: Cross multiply
    220,329x = 297,276.75 × 297,276.75
  4. Step 4: Simplify right side
    220,329x = 88,373,466,090.56
  5. Step 5: Solve for x
    x = 88,373,466,090.56/220,329
  6. Step 6: Final answer
    x = 401,097.75

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.